Pith Number

pith:HX5ULWON

pith:2015:HX5ULWONC6JA2STMTBU6QMCCPR

not attested not anchored not stored refs pending

An Optimal Resource Allocation with Frequency Reuse in Cellular Networks

Ahmed Abdelhadi, T. Charles Clancy

arxiv:1507.07161 v3 · 2015-07-26 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX5ULWONC6JA2STMTBU6QMCCPR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:01:36.200213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfb45d9cd17920d4a6c9869e830427c620f0841b50a6c9ec572be6fbd13d886

Aliases

arxiv: 1507.07161 · arxiv_version: 1507.07161v3 · doi: 10.48550/arxiv.1507.07161 · pith_short_12: HX5ULWONC6JA · pith_short_16: HX5ULWONC6JA2STM · pith_short_8: HX5ULWON

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HX5ULWONC6JA2STMTBU6QMCCPR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3dfb45d9cd17920d4a6c9869e830427c620f0841b50a6c9ec572be6fbd13d886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695b1fc35b6a986ae294fec7b42df5988562a38b0da5c12e78141a7949ccd6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-07-26T02:17:28Z",
    "title_canon_sha256": "04bca942fd0305af7cd3290ad30b96020c73b11abe928570d651976384e1c1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07161",
    "kind": "arxiv",
    "version": 3
  }
}